I. Evaluate the following limits. x sinh x 1. lim x-0 cos 3x -1

Q: Evaluate the following limits.

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Q: Q2) Answer the following limits y cot 4y 1) Lim yo sin y cot 2y

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Q: Find the following limits, using L'Hospital's Rule where appropriate. cos(mx)- cos(nx) (a) lim x-0

A: The objective of the question is find the limit.

Q: Determine the following limits. sin x lim xSo e

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Q: 4t2+3t sin t 2. lim t 0 t2

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Q: Find constants a and b so that each of the following limits is true. Va + bx а. lim 1 = 2 b. lim tan…

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim x?cosx sin²¹x 2 x-o

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Q: Evaluate the following limits. x + sin(x) + 2vT x + sin(x) V1+x – 1 – 5 a) lim 2 b) lim r2

A: Given: a  limx→∞x+sinx+2xx+sinxb limx→01+x-1-x2x2

Q: Choose the correct answer for the following limit S sin t3 dt lim 3x4 (A) (8) -1 (C) 1 4 (D) 4. (E)…

A: Let us consider the function F(x)=∫a(x)b(x) g(t) dt Then the derivative of the function is given by…

Q: (6x+3y)sin(2x+ y) lim (x,y)→(0,0) 4x² +4.xy+ y

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Q: sint 1 COs t 13. lim t+0 t t

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Q: Choose the correct answer for the following limit So sin t3 dt 2 x4 lim (A) 3 (B) -1 3 (C) 1 8. (D)…

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Q: Evaluate the following limits. lim(Vx? +4x+1-x) a. lim tan (1/x) 1oitonh b. c. lim x cos x->0+ 2

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Q: ind the following limits using I sin(Tx) lim -0 tan(ex)'

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Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. (a) lim…

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Q: (b) Find the following limits. Do not apply L'Hospital's rule. x2-4 lim x+2 x-2 (i) sin (31) (ii)…

A: Explained below

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

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Q: Q2: Find the following limits 3. lim sin3y cot5y y-0 ycot4y

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Q: (sin r' 1/r (а) lim I >0

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Q: (a) By using L’Hôpital's rule, evaluate each of the following limits. sin x lim x-0 2x (i) (ii) lim…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find the following limits. Do not apply L'Hospital's rule. ペ-4 lim +2 |x– 2| (i) (ii) sin (3t) lim

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Q: Q3. Compute the following limits if they exist. sec a - 1 (a) lim x – sin r (b) lim 20 x - tan r 2 –…

A: Q.3 part a) Substituting the limit in function, This is indeterminate form 0/0,

Q: Choose the correct answer for the following limit So sin t3 dt lim 2 x4 (A) (B) (C) 8. (D) (E) (F)

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Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: Determine the following limits analytically.

A: limx→0  3tanx - 8x3x + sin2xlimit = ?

Q: csc t lim (cos t) t-0

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Q: Which of the following limits can be evaluated without l’Hôpital’s Rule? Evaluate each limit. sin x…

A: Compute the limit limx→0 sin xx3+2x+1 as follows. limx→0 sin xx3+2x+1=sin 00+0+1=01=0

Q: Evaluate the following limits: 1/x lim tan +x x→0 4 sinx )/x lim x→0

A: Recall: L' Hospital Rule : suppose that we have one of the following cases, limx→af(x)g(x)=00 or…

Q: Use l’Hôpital’s Rule to find the limits

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Q: 1. 14. lim COS sin t

A: Given: limt→0 1-cos(t)sin(t)

Q: Use the definitions of the hyperbolic function to find each of the following limits. lim x→∞…

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Q: Calculate the following limits. x² – sin²2x lim X→0 x2

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Q: t 1. lim t40 sin t t 2. lim t40 et - 1 sin(2t) 3. lim 2t t40

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Q: Q 4. (a). Simplify the indicated limits on the following. (CLO-2: LOL 3x²+5 lim X→∞ x2+1 [sinx lim…

A: Q 4. (a) (i) The given expression is limx→∞3x2+5x2+1

Q: Evaluate the following limits by constructing their respective table of values. 1- cos(3t) 4. lim 3t…

A: note: as per our company guidelines, we are supposed to answer 3 sub parts of a given question.…

Q: Evaluate the following limits. x + sin(x) +2Vã x + sin(x) a) lim

A: NOTE***As per bartleby guidelines for more than one question, only first to be answered send other…

Q: Evaluate the limits of the following functions, and verify your answer. (6x+3y)sin(2x+y) 4x +4xy+ y…

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Q: 1 lim x sin x x2 x→0 O 1/5 O 1/7 О 16

A: Given, limx→01x sinx-1x2

Q: ind the following limit. x2 + 1 lim (x, y) - (0, 15) arctan + (y – 15)2,

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Q: I. Evaluate the following limits. 1 1 1. lim x – 1 et — е x→1+ - - 2. lim (sin x)tan a x→0+

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Q: 2. Evaluate the following limits if they exist: sin(r² + y²). (a) lim (1,9)(0,0) 2x2 + 2y² Ty (b)…

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Q: b): Evaluate each of the following limits: x5 sin? 2)lim x+00 x* + 1

A: Given,

Q: Find the following limits. Do not apply L'Hospital's rule. 2-4 lim +2 x– 2| (1) (ii) sin²(3r) lim…

A: According to question given:(i) limx→2x2-4x-2When x approaches 2 from right x-2=x-2When x approaches…

Q: Calculate the following limits. cos x 1) lim (tan x)cos* x² – sin?2x 2) lim x→0 x2

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Q: Find the following limits. Do not apply L'Hospital's rule. 2-4 lim x+2 |x – 2| (i) (ii) sin (3t) lim…

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Q: 1 – cos(x² + y?) x2 + y? - lim (x,y)→(0,0)

A: Given lim(x,y)->(0,0)1-cosx2+y2x2+y2 find out the limit if it exists

Q: ´ 1/x? sin x lim x>0

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Q: Evaluate each of the following limits: (Show the complete solution. Do not use L'Hospital's Rule…

A: Here I am attaching image so that you understand each and every step.

Q: 1-sin x 18. lim TL X- 2.

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